Question

there are three barrels having diesel of 24 liters, 36liters,and 48 liters . find the container of the highest measurement that can fill the diesel of all the three barrels in whole numbers.​

Answer 1

Answer:

highest measurement = HCF

HCF of 24,36,48 = 12

The highest measurement =12 litres

Answer 2

The container of the highest measurement that can fill the diesel of all three barrels in whole numbers is 12 liters.

Concept used:

For finding the maximum capacity of a container we have to find the HCF of the given numbers.

Here, the prime factorisation method is used to find the HCF of the given numbers.

Given:

Three barrels have diesel of 24 liters, 36 liters, and 48 liters.

To find:

The container of the highest measurement that can fill the diesel of all the three barrels in whole numbers,

Solution:

Step 1: Write the prime factors of 24, 36, and 48 :

$\begin{array}{l}24 = 2 \times 2 \times 2 \times 3 \\36 = 2 \times 2 \times 3 \times 3 \\48 = 2 \times 2 \times 2 \times 2 \times 3\end{array}$

Step 2: Find the HCF of 24 liters, 36 liters, and 48 liters:

HCF (24 , 36 , 48)  = 2 × 2 × 3

HCF (24 , 36 , 48) = 12

HCF of 24 liters, 36 liters, and 48 liters is 12 liters.

Hence, the container of the highest measurement that can fill the diesel of all three barrels in whole numbers is 12 liters.

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